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Q.

Velocity (v) versus displacement (x) plot of a body moving along a straight line is as shown in the graph. The corresponding plot of acceleration (a) as a function of displacement (x) is

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a

b

c

c

d

answer is D.

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Detailed Solution

Acceleration Now for 0 ≤ x ≤ 100, v = kxdv/dx = ka = k(kx) = k2xAgain for 100 ≤ x ≤ 200, dv/dx = -k and v = c - kxa = (-k)(c - kx) = k2x - kc.Therefore option (4) is correct.
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